200876068224 has 384 divisors, whose sum is σ = 638043194880. Its totient is φ = 60284252160.

The previous prime is 200876068213. The next prime is 200876068229. The reversal of 200876068224 is 422860678002.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 200876068224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200876068229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107362009 + ... + 107363879.

It is an arithmetic number, because the mean of its divisors is an integer number (1661570820).

Almost surely, 2^200876068224 is an apocalyptic number.

200876068224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200876068224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319021597440).

200876068224 is an abundant number, since it is smaller than the sum of its proper divisors (437167126656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200876068224 is a wasteful number, since it uses less digits than its factorization.

200876068224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 200876068224 in words is "two hundred billion, eight hundred seventy-six million, sixty-eight thousand, two hundred twenty-four".